无限长板带对位荷载下的有效分布宽度计算和应力分析方法

Effective Distribution Width Calculation and Stress Analysis of Infinite Long Plate Strip with Counterpoint Load

摘要:

无限长板带对位荷载下的应力分布的研究有助于进一步理解和解决长条形板式结构（如带外伸横梁的桥梁结构等）的横向计算简化问题。其等效加载模式（平面应力问题）也对应于条形基础下的下卧刚性层的软土地基受力问题（平面应变问题）。通过理论分析采用复变函数法得到无限长板带对位荷载下的应力计算公式，然后导出该理论解的有效宽度简化计算方法，与理论解的误差控制在5%以内，为进一步工程应用做理论准备。

Abstract:

The study of stress distribution of infinite long plate with the counterpoint load is helpful to further understand and solve the problem of lateral calculation simplification of long strip plate structures (such as bridge structures with overhanging beam). Its equivalent loading mode (plane stress problem) also corresponds to the force problem (plane strain problem) of soft soil subgrade with the subjacent under the strip foundation. Through the theoretical analysis, the method of complex variable function is used to obtain the stress calculation formula of the infinite long plate strip with counterpoint load, and then the effective-width simplified calculating method of the theoretical solution is derived. The error control of the theoretical solution is within 5%, which makes the theoretical preparation for further engineering application.